Fixed point theorems in generalized $C^{\ast}-$valued metric spaces

Based on the notion and properties of $C^{\ast}-$algebras, this paper aims to collect important results of fixed point theorems in generalized $C^{\ast}-$valued metric spaces. We also prove some new notions and establish an existence result for an integral equation in $C^{\ast}-$valued $b-$metric spaces. Moreover, we give some fixed point theorems in different types of spaces such as $C^{\ast}-$valued (extended $b-$metric, $b-$rectangular metric, extended hexagonal $b-$asymmetric, $S-$metric, $G-$metric and partial metric) spaces.